Answer:
d) (x -2)² +(y +5)² = 256
Explanation:
For center (h, k) and radius r, the standard equation of a circle is ...
(x -h)² +(y -k)² = r²
For (h, k) = (2, -5) and r = 16, we can fill in the numbers:
(x -2)² +(y -(-5))² = 16²
(x -2)² +(y +5)² = 256 . . . . simplify